The authors present a general framework of kinetic traffic flow models and show that various special cases are covered by their approach. Specifically, two models of Klar et al. and a model of Helbing are considered which differ in their car-car interaction rules. Then, a Monte Carlo discretization for the space homogeneous case of the general kinetic equation is developed. It is used to compute stationary solutions. Results for the specific models are presented and briefly discussed in the final section.
General kinetic models for vehicular traffic flows and Monte-Carlo methods
PARESCHI, Lorenzo
2005
Abstract
The authors present a general framework of kinetic traffic flow models and show that various special cases are covered by their approach. Specifically, two models of Klar et al. and a model of Helbing are considered which differ in their car-car interaction rules. Then, a Monte Carlo discretization for the space homogeneous case of the general kinetic equation is developed. It is used to compute stationary solutions. Results for the specific models are presented and briefly discussed in the final section.File in questo prodotto:
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